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Finding the Fourth Proportional to 194.82, 293.64 and 183.03

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Solution

The fourth proportional to 194.82, 293.64 and 183.03 is: 275.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.82 : 293.64 = 183.03 : x
  2. Step 2: Convert to fraction form
    194.82/293.64 = 183.03/x
  3. Step 3: Cross multiply
    194.82x = 293.64 × 183.03
  4. Step 4: Simplify right side
    194.82x = 53,744.93
  5. Step 5: Solve for x
    x = 53,744.93/194.82
  6. Step 6: Final answer
    x = 275.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.